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It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系，提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件，并且指出它包括了Wilcox提出的离散的可实现条件。

For the radical function where p(z is a polynomial of degree N with multi-branch points, this paper obtains a general method to get the function value on the given branch of analytic function.

对于具有多个有限支点的根式函数（其中p是任意的N次多项式），得到了求某个特定单值解析分支上的函数值的一般方法。

It includes four parts: morality's regulative function in the economic relationship, morality's regulative in the people's relationship, morality regulative function to rule order, and morality's canonical and instructive function to education, military affairs, and diplomacy.

主要探讨的问题有德在经济关系中的调节作用，德在人际关系中的调节作用，德对统治秩序的调节以及德对教育、军事、外交的规范指导作用。

Among them, morality's regulative function in the economic relationship and people's relationship and morality regulative function to rule order and education are obvious. However, to discuss Morality canonical and instructive function to military affairs and diplomacy is merely a try.

其中，德对经济、人际、统治秩序及教育的调节作用十分明显，对军事、外交的规范指导作用则属于本人的尝试性探讨。

Results: PEF was the most sensitive one in all parameters of major airway function ,FEF25 、FEF50、 FEF75 were the most sensitive one in all parameters of minor airway function ,there was still different degree decrease of minor airway function in most patients of catabasis.

结果：大气道功能均以最大呼气流速峰值敏感，小气道功能以用力呼气 25 %流速(FEF25)、用力呼气 50 %流速(FEF50)、用力呼气 75 %流速(FEF75)敏感，缓解期多数患儿小气道功能仍有不同程度的损害。

This passeage discusses the sequence of cauchy criterion function limit, the convergence of cauchy criterion, the convergence of the series, the function of cauchy criterion listed uniform convergence of cauchy criterion function series, uniform convergence of cauchy criterion, plane of cauchy criterion, some abnormal integral parameter uniform convergence of cauchy criterion and summarized and proof, and through a lot of sample reflected their status and role.

马上要交论文了，摘要不晓得如何翻译，现在请诸位高人帮助翻译1下，不能在线翻译哦，高悬赏~~~~~~感谢本文主要论述了数列地柯西收敛准则，函数极限存在的柯西准则，级数收敛的柯西准则，函数列一致收敛的柯西准则，函数项级数一致收敛的柯西准则，平面点列的柯西准则，含参量非正常积分一致收敛的柯西准则的应用并进行了总结和证明，并通过大量的例题体现了它们的地位和作用。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

This article according to the function image axial symmetry and the point symmetry basic principle,the use function taylor series expansion,determines and seeks the polynomial function image the axis of symmetry or the center of symmetry.

根据函数图象轴对称及点对称的基本原理，利用函数的泰勒级数展开式，来判定和寻找函数图象的对称轴或对称中心。

Since the character of network capability can also be influenced by the processing function of hidden neurons, a Chebyshev orthogonal neural network, in which the Chebyshev function is chosen for the hidden unit processing function, is proposed and the optimization algorithm under norm‖x‖〓 is investigated.

由于网络隐层神经元处理函数对网络性能也有重要影响，故将Chebyshev函数选为隐单元的处理函数而提出Chebyshev正交神经网络，并讨论了一致范数‖x‖〓意义下的优化算法。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。